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Finding the Third Proportional to 40,378.50 and 57,799.13

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Solution

The third proportional to 40,378.50 and 57,799.13 is: 82,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378.50 : 57,799.13 = 57,799.13 : x
  2. Step 2: Convert to fraction form
    40,378.50/57,799.13 = 57,799.13/x
  3. Step 3: Cross multiply
    40,378.50x = 57,799.13 × 57,799.13
  4. Step 4: Simplify right side
    40,378.50x = 3,340,738,850.77
  5. Step 5: Solve for x
    x = 3,340,738,850.77/40,378.50
  6. Step 6: Final answer
    x = 82,735.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.